952 views

2 Answers

2 votes
2 votes
Given: (100008)^12500

Now,

8^1=8

8^2=64

8^3=512

8^4=4096

8^5=32768…..

So, observe the value at units place, it is repeating after 4 numbers. So, now

12500 mod4 =0

So, it is divisible by 4.

Hence, unit place will have 6.
0 votes
0 votes
Is it 6 ?  Divide the exponent by 4 and get the reminder and raise it to the unit digit of the base

Related questions

0 votes
0 votes
1 answer
1
vanshikhahere asked Sep 8, 2023
330 views
A starts a business with a capital of 1200. B and C join with investments after 3 and 6 months respectively. If at the end of a year, the profit is divided in the ratio 2...
0 votes
0 votes
1 answer
2
1 votes
1 votes
1 answer
3
3 votes
3 votes
1 answer
4
anupamsworld asked Jul 25, 2022
950 views
In a car race, car X beats car Y by 36 km, car Y beats car Z by 72 km, and car X beats car Z by 90 km. The distance (in m) over which the race has been conducted is:88000...